Application of field and dynamics code to LEBT optimization

A code for computer simulation and optimization of beam dynamics in 3D or rotationally symmetric electrostatic fields is considered. It is based on a physical model that takes into account the beam space charge. The theoretical framework used for both formulation of the model and interpretation of the results of numerical experiments is a formalism of the charged particle dynamics in phase space. The code can be used as an effective tool for computer-aided design and optimization of electrostatic accelerating and focusing systems. The operation of the code is illustrated with a typical example.